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//
 ********************************************************************************
 *   Content : Eigen bindings to BLAS F77
 *   Self adjoint matrix * matrix product functionality based on ?SYMM/?HEMM.
 ********************************************************************************
*/

#ifndef EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H
#define EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H

namespace Eigen {

namespace internal {

/* Optimized selfadjoint matrix * matrix (?SYMM/?HEMM) product */

#define EIGEN_BLAS_SYMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
	template<typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>           \
	struct product_selfadjoint_matrix<EIGTYPE,                                                                         \
									  Index,                                                                           \
									  LhsStorageOrder,                                                                 \
									  true,                                                                            \
									  ConjugateLhs,                                                                    \
									  RhsStorageOrder,                                                                 \
									  false,                                                                           \
									  ConjugateRhs,                                                                    \
									  ColMajor,                                                                        \
									  1>                                                                               \
	{                                                                                                                  \
                                                                                                                       \
		static void run(Index rows,                                                                                    \
						Index cols,                                                                                    \
						const EIGTYPE* _lhs,                                                                           \
						Index lhsStride,                                                                               \
						const EIGTYPE* _rhs,                                                                           \
						Index rhsStride,                                                                               \
						EIGTYPE* res,                                                                                  \
						Index resIncr,                                                                                 \
						Index resStride,                                                                               \
						EIGTYPE alpha,                                                                                 \
						level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/)                                               \
		{                                                                                                              \
			EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
			eigen_assert(resIncr == 1);                                                                                \
			char side = 'L', uplo = 'L';                                                                               \
			BlasIndex m, n, lda, ldb, ldc;                                                                             \
			const EIGTYPE *a, *b;                                                                                      \
			EIGTYPE beta(1);                                                                                           \
			MatrixX##EIGPREFIX b_tmp;                                                                                  \
                                                                                                                       \
			/* Set transpose options */                                                                                \
			/* Set m, n, k */                                                                                          \
			m = convert_index<BlasIndex>(rows);                                                                        \
			n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                       \
			/* Set lda, ldb, ldc */                                                                                    \
			lda = convert_index<BlasIndex>(lhsStride);                                                                 \
			ldb = convert_index<BlasIndex>(rhsStride);                                                                 \
			ldc = convert_index<BlasIndex>(resStride);                                                                 \
                                                                                                                       \
			/* Set a, b, c */                                                                                          \
			if (LhsStorageOrder == RowMajor)                                                                           \
				uplo = 'U';                                                                                            \
			a = _lhs;                                                                                                  \
                                                                                                                       \
			if (RhsStorageOrder == RowMajor) {                                                                         \
				Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> rhs(_rhs, n, m, OuterStride<>(rhsStride));             \
				b_tmp = rhs.adjoint();                                                                                 \
				b = b_tmp.data();                                                                                      \
				ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                   \
			} else                                                                                                     \
				b = _rhs;                                                                                              \
                                                                                                                       \
			BLASFUNC(&side,                                                                                            \
					 &uplo,                                                                                            \
					 &m,                                                                                               \
					 &n,                                                                                               \
					 (const BLASTYPE*)&numext::real_ref(alpha),                                                        \
					 (const BLASTYPE*)a,                                                                               \
					 &lda,                                                                                             \
					 (const BLASTYPE*)b,                                                                               \
					 &ldb,                                                                                             \
					 (const BLASTYPE*)&numext::real_ref(beta),                                                         \
					 (BLASTYPE*)res,                                                                                   \
					 &ldc);                                                                                            \
		}                                                                                                              \
	};

#define EIGEN_BLAS_HEMM_L(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
	template<typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>           \
	struct product_selfadjoint_matrix<EIGTYPE,                                                                         \
									  Index,                                                                           \
									  LhsStorageOrder,                                                                 \
									  true,                                                                            \
									  ConjugateLhs,                                                                    \
									  RhsStorageOrder,                                                                 \
									  false,                                                                           \
									  ConjugateRhs,                                                                    \
									  ColMajor,                                                                        \
									  1>                                                                               \
	{                                                                                                                  \
		static void run(Index rows,                                                                                    \
						Index cols,                                                                                    \
						const EIGTYPE* _lhs,                                                                           \
						Index lhsStride,                                                                               \
						const EIGTYPE* _rhs,                                                                           \
						Index rhsStride,                                                                               \
						EIGTYPE* res,                                                                                  \
						Index resIncr,                                                                                 \
						Index resStride,                                                                               \
						EIGTYPE alpha,                                                                                 \
						level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/)                                               \
		{                                                                                                              \
			EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
			eigen_assert(resIncr == 1);                                                                                \
			char side = 'L', uplo = 'L';                                                                               \
			BlasIndex m, n, lda, ldb, ldc;                                                                             \
			const EIGTYPE *a, *b;                                                                                      \
			EIGTYPE beta(1);                                                                                           \
			MatrixX##EIGPREFIX b_tmp;                                                                                  \
			Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder> a_tmp;                                                  \
                                                                                                                       \
			/* Set transpose options */                                                                                \
			/* Set m, n, k */                                                                                          \
			m = convert_index<BlasIndex>(rows);                                                                        \
			n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                       \
			/* Set lda, ldb, ldc */                                                                                    \
			lda = convert_index<BlasIndex>(lhsStride);                                                                 \
			ldb = convert_index<BlasIndex>(rhsStride);                                                                 \
			ldc = convert_index<BlasIndex>(resStride);                                                                 \
                                                                                                                       \
			/* Set a, b, c */                                                                                          \
			if (((LhsStorageOrder == ColMajor) && ConjugateLhs) ||                                                     \
				((LhsStorageOrder == RowMajor) && (!ConjugateLhs))) {                                                  \
				Map<const Matrix<EIGTYPE, Dynamic, Dynamic, LhsStorageOrder>, 0, OuterStride<>> lhs(                   \
					_lhs, m, m, OuterStride<>(lhsStride));                                                             \
				a_tmp = lhs.conjugate();                                                                               \
				a = a_tmp.data();                                                                                      \
				lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                   \
			} else                                                                                                     \
				a = _lhs;                                                                                              \
			if (LhsStorageOrder == RowMajor)                                                                           \
				uplo = 'U';                                                                                            \
                                                                                                                       \
			if (RhsStorageOrder == ColMajor && (!ConjugateRhs)) {                                                      \
				b = _rhs;                                                                                              \
			} else {                                                                                                   \
				if (RhsStorageOrder == ColMajor && ConjugateRhs) {                                                     \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> rhs(_rhs, m, n, OuterStride<>(rhsStride));         \
					b_tmp = rhs.conjugate();                                                                           \
				} else if (ConjugateRhs) {                                                                             \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> rhs(_rhs, n, m, OuterStride<>(rhsStride));         \
					b_tmp = rhs.adjoint();                                                                             \
				} else {                                                                                               \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> rhs(_rhs, n, m, OuterStride<>(rhsStride));         \
					b_tmp = rhs.transpose();                                                                           \
				}                                                                                                      \
				b = b_tmp.data();                                                                                      \
				ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                   \
			}                                                                                                          \
                                                                                                                       \
			BLASFUNC(&side,                                                                                            \
					 &uplo,                                                                                            \
					 &m,                                                                                               \
					 &n,                                                                                               \
					 (const BLASTYPE*)&numext::real_ref(alpha),                                                        \
					 (const BLASTYPE*)a,                                                                               \
					 &lda,                                                                                             \
					 (const BLASTYPE*)b,                                                                               \
					 &ldb,                                                                                             \
					 (const BLASTYPE*)&numext::real_ref(beta),                                                         \
					 (BLASTYPE*)res,                                                                                   \
					 &ldc);                                                                                            \
		}                                                                                                              \
	};

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_SYMM_L(double, double, d, dsymm)
EIGEN_BLAS_SYMM_L(float, float, f, ssymm)
EIGEN_BLAS_HEMM_L(dcomplex, MKL_Complex16, cd, zhemm)
EIGEN_BLAS_HEMM_L(scomplex, MKL_Complex8, cf, chemm)
#else
EIGEN_BLAS_SYMM_L(double, double, d, dsymm_)
EIGEN_BLAS_SYMM_L(float, float, f, ssymm_)
EIGEN_BLAS_HEMM_L(dcomplex, double, cd, zhemm_)
EIGEN_BLAS_HEMM_L(scomplex, float, cf, chemm_)
#endif

/* Optimized matrix * selfadjoint matrix (?SYMM/?HEMM) product */

#define EIGEN_BLAS_SYMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
	template<typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>           \
	struct product_selfadjoint_matrix<EIGTYPE,                                                                         \
									  Index,                                                                           \
									  LhsStorageOrder,                                                                 \
									  false,                                                                           \
									  ConjugateLhs,                                                                    \
									  RhsStorageOrder,                                                                 \
									  true,                                                                            \
									  ConjugateRhs,                                                                    \
									  ColMajor,                                                                        \
									  1>                                                                               \
	{                                                                                                                  \
                                                                                                                       \
		static void run(Index rows,                                                                                    \
						Index cols,                                                                                    \
						const EIGTYPE* _lhs,                                                                           \
						Index lhsStride,                                                                               \
						const EIGTYPE* _rhs,                                                                           \
						Index rhsStride,                                                                               \
						EIGTYPE* res,                                                                                  \
						Index resIncr,                                                                                 \
						Index resStride,                                                                               \
						EIGTYPE alpha,                                                                                 \
						level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/)                                               \
		{                                                                                                              \
			EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
			eigen_assert(resIncr == 1);                                                                                \
			char side = 'R', uplo = 'L';                                                                               \
			BlasIndex m, n, lda, ldb, ldc;                                                                             \
			const EIGTYPE *a, *b;                                                                                      \
			EIGTYPE beta(1);                                                                                           \
			MatrixX##EIGPREFIX b_tmp;                                                                                  \
                                                                                                                       \
			/* Set m, n, k */                                                                                          \
			m = convert_index<BlasIndex>(rows);                                                                        \
			n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                       \
			/* Set lda, ldb, ldc */                                                                                    \
			lda = convert_index<BlasIndex>(rhsStride);                                                                 \
			ldb = convert_index<BlasIndex>(lhsStride);                                                                 \
			ldc = convert_index<BlasIndex>(resStride);                                                                 \
                                                                                                                       \
			/* Set a, b, c */                                                                                          \
			if (RhsStorageOrder == RowMajor)                                                                           \
				uplo = 'U';                                                                                            \
			a = _rhs;                                                                                                  \
                                                                                                                       \
			if (LhsStorageOrder == RowMajor) {                                                                         \
				Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> lhs(_lhs, n, m, OuterStride<>(rhsStride));             \
				b_tmp = lhs.adjoint();                                                                                 \
				b = b_tmp.data();                                                                                      \
				ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                   \
			} else                                                                                                     \
				b = _lhs;                                                                                              \
                                                                                                                       \
			BLASFUNC(&side,                                                                                            \
					 &uplo,                                                                                            \
					 &m,                                                                                               \
					 &n,                                                                                               \
					 (const BLASTYPE*)&numext::real_ref(alpha),                                                        \
					 (const BLASTYPE*)a,                                                                               \
					 &lda,                                                                                             \
					 (const BLASTYPE*)b,                                                                               \
					 &ldb,                                                                                             \
					 (const BLASTYPE*)&numext::real_ref(beta),                                                         \
					 (BLASTYPE*)res,                                                                                   \
					 &ldc);                                                                                            \
		}                                                                                                              \
	};

#define EIGEN_BLAS_HEMM_R(EIGTYPE, BLASTYPE, EIGPREFIX, BLASFUNC)                                                      \
	template<typename Index, int LhsStorageOrder, bool ConjugateLhs, int RhsStorageOrder, bool ConjugateRhs>           \
	struct product_selfadjoint_matrix<EIGTYPE,                                                                         \
									  Index,                                                                           \
									  LhsStorageOrder,                                                                 \
									  false,                                                                           \
									  ConjugateLhs,                                                                    \
									  RhsStorageOrder,                                                                 \
									  true,                                                                            \
									  ConjugateRhs,                                                                    \
									  ColMajor,                                                                        \
									  1>                                                                               \
	{                                                                                                                  \
		static void run(Index rows,                                                                                    \
						Index cols,                                                                                    \
						const EIGTYPE* _lhs,                                                                           \
						Index lhsStride,                                                                               \
						const EIGTYPE* _rhs,                                                                           \
						Index rhsStride,                                                                               \
						EIGTYPE* res,                                                                                  \
						Index resIncr,                                                                                 \
						Index resStride,                                                                               \
						EIGTYPE alpha,                                                                                 \
						level3_blocking<EIGTYPE, EIGTYPE>& /*blocking*/)                                               \
		{                                                                                                              \
			EIGEN_ONLY_USED_FOR_DEBUG(resIncr);                                                                        \
			eigen_assert(resIncr == 1);                                                                                \
			char side = 'R', uplo = 'L';                                                                               \
			BlasIndex m, n, lda, ldb, ldc;                                                                             \
			const EIGTYPE *a, *b;                                                                                      \
			EIGTYPE beta(1);                                                                                           \
			MatrixX##EIGPREFIX b_tmp;                                                                                  \
			Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder> a_tmp;                                                  \
                                                                                                                       \
			/* Set m, n, k */                                                                                          \
			m = convert_index<BlasIndex>(rows);                                                                        \
			n = convert_index<BlasIndex>(cols);                                                                        \
                                                                                                                       \
			/* Set lda, ldb, ldc */                                                                                    \
			lda = convert_index<BlasIndex>(rhsStride);                                                                 \
			ldb = convert_index<BlasIndex>(lhsStride);                                                                 \
			ldc = convert_index<BlasIndex>(resStride);                                                                 \
                                                                                                                       \
			/* Set a, b, c */                                                                                          \
			if (((RhsStorageOrder == ColMajor) && ConjugateRhs) ||                                                     \
				((RhsStorageOrder == RowMajor) && (!ConjugateRhs))) {                                                  \
				Map<const Matrix<EIGTYPE, Dynamic, Dynamic, RhsStorageOrder>, 0, OuterStride<>> rhs(                   \
					_rhs, n, n, OuterStride<>(rhsStride));                                                             \
				a_tmp = rhs.conjugate();                                                                               \
				a = a_tmp.data();                                                                                      \
				lda = convert_index<BlasIndex>(a_tmp.outerStride());                                                   \
			} else                                                                                                     \
				a = _rhs;                                                                                              \
			if (RhsStorageOrder == RowMajor)                                                                           \
				uplo = 'U';                                                                                            \
                                                                                                                       \
			if (LhsStorageOrder == ColMajor && (!ConjugateLhs)) {                                                      \
				b = _lhs;                                                                                              \
			} else {                                                                                                   \
				if (LhsStorageOrder == ColMajor && ConjugateLhs) {                                                     \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> lhs(_lhs, m, n, OuterStride<>(lhsStride));         \
					b_tmp = lhs.conjugate();                                                                           \
				} else if (ConjugateLhs) {                                                                             \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> lhs(_lhs, n, m, OuterStride<>(lhsStride));         \
					b_tmp = lhs.adjoint();                                                                             \
				} else {                                                                                               \
					Map<const MatrixX##EIGPREFIX, 0, OuterStride<>> lhs(_lhs, n, m, OuterStride<>(lhsStride));         \
					b_tmp = lhs.transpose();                                                                           \
				}                                                                                                      \
				b = b_tmp.data();                                                                                      \
				ldb = convert_index<BlasIndex>(b_tmp.outerStride());                                                   \
			}                                                                                                          \
                                                                                                                       \
			BLASFUNC(&side,                                                                                            \
					 &uplo,                                                                                            \
					 &m,                                                                                               \
					 &n,                                                                                               \
					 (const BLASTYPE*)&numext::real_ref(alpha),                                                        \
					 (const BLASTYPE*)a,                                                                               \
					 &lda,                                                                                             \
					 (const BLASTYPE*)b,                                                                               \
					 &ldb,                                                                                             \
					 (const BLASTYPE*)&numext::real_ref(beta),                                                         \
					 (BLASTYPE*)res,                                                                                   \
					 &ldc);                                                                                            \
		}                                                                                                              \
	};

#ifdef EIGEN_USE_MKL
EIGEN_BLAS_SYMM_R(double, double, d, dsymm)
EIGEN_BLAS_SYMM_R(float, float, f, ssymm)
EIGEN_BLAS_HEMM_R(dcomplex, MKL_Complex16, cd, zhemm)
EIGEN_BLAS_HEMM_R(scomplex, MKL_Complex8, cf, chemm)
#else
EIGEN_BLAS_SYMM_R(double, double, d, dsymm_)
EIGEN_BLAS_SYMM_R(float, float, f, ssymm_)
EIGEN_BLAS_HEMM_R(dcomplex, double, cd, zhemm_)
EIGEN_BLAS_HEMM_R(scomplex, float, cf, chemm_)
#endif
} // end namespace internal

} // end namespace Eigen

#endif // EIGEN_SELFADJOINT_MATRIX_MATRIX_BLAS_H
